23353948800 has 1728 divisors, whose sum is σ = 111528799200. Its totient is φ = 4598415360.

The previous prime is 23353948703. The next prime is 23353948831. The reversal of 23353948800 is 884935332.

23353948800 is a `hidden beast` number, since 2 + 33 + 539 + 4 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 348566367 + ... + 348566433.

Almost surely, 2^23353948800 is an apocalyptic number.

23353948800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23353948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55764399600).

23353948800 is an abundant number, since it is smaller than the sum of its proper divisors (88174850400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23353948800 is a wasteful number, since it uses less digits than its factorization.

23353948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23353948800 in words is "twenty-three billion, three hundred fifty-three million, nine hundred forty-eight thousand, eight hundred".